Home / 31,875.84-47,819.24-9,691.44

Finding the Fourth Proportional to 31,875.84, 47,819.24 and 9,691.44

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Solution

The fourth proportional to 31,875.84, 47,819.24 and 9,691.44 is: 14,538.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,875.84 : 47,819.24 = 9,691.44 : x
  2. Step 2: Convert to fraction form
    31,875.84/47,819.24 = 9,691.44/x
  3. Step 3: Cross multiply
    31,875.84x = 47,819.24 × 9,691.44
  4. Step 4: Simplify right side
    31,875.84x = 463,437,295.31
  5. Step 5: Solve for x
    x = 463,437,295.31/31,875.84
  6. Step 6: Final answer
    x = 14,538.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.